机构:
RV Coll, Indian Stat Inst, Stat Math Unit, Bangalore 560059, Karnataka, IndiaRV Coll, Indian Stat Inst, Stat Math Unit, Bangalore 560059, Karnataka, India
Rao, T. S. S. R. K.
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机构:
[1] RV Coll, Indian Stat Inst, Stat Math Unit, Bangalore 560059, Karnataka, India
We show that any Banach space X that has a sequence of unit vectors weakly converging to 0 has a closed and bounded convex set that is not remotal. This extends the main result of Sababheh and Khalil, (Numer. Funct. Anal. Optim. 2008; 29: 1166-1170).
机构:
Eötvös Loránd University, Department of Computer Algebra, HU-1117 BudapestEötvös Loránd University, Department of Computer Algebra, HU-1117 Budapest